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If a2 = by + cz, b2 = cz + ax, c2 = ax + by, then the value of \(\frac{x}{a+x}\) + \(\frac{y}{b+x}\) + \(\frac{x}{c+z}\) will be :

(a) a + b + c 

(b) \(\frac{1}{a}+\frac{1}{b}+\frac{1}{c}\)

(c) 1 

(d) 0

1 Answer

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Best answer

(c) 1

a2 = by + cz ⇒ a2 + ax = ax + by + cz 

⇒ a(a + x) = ax + by + cz                     ...(i) 

Similarly, b2 = cz + ax ⇒ b(b + y) = ax + by + cz          ...(ii) 

and c2 = ax + by ⇒ c(c + z) = ax + by + cz               ...(iii)

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